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Popular >

extreme f(x)=(1+x^2)/(1-x^2)

Solution

extreme points

f (x) = \frac{1 + x ^{2}}{1 - x ^{2}}

Solution

Minimum (0, 1)

Solution steps

f^{'} (x) = \frac{4 x}{( 1 - x ^{2} ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 0,

Increasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 0

into

\frac{1 + x ^{2}}{1 - x ^{2}} : 1

Minimum (0, 1)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=(1+x^2)/(1-x^2) ?
The extreme f(x)=(1+x^2)/(1-x^2) is Minimum(0,1)